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Finding the Fourth Proportional to 3,764.76, 5,635.80 and 3,028.20

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Solution

The fourth proportional to 3,764.76, 5,635.80 and 3,028.20 is: 4,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.76 : 5,635.80 = 3,028.20 : x
  2. Step 2: Convert to fraction form
    3,764.76/5,635.80 = 3,028.20/x
  3. Step 3: Cross multiply
    3,764.76x = 5,635.80 × 3,028.20
  4. Step 4: Simplify right side
    3,764.76x = 17,066,329.56
  5. Step 5: Solve for x
    x = 17,066,329.56/3,764.76
  6. Step 6: Final answer
    x = 4,533.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.